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Popular >

extreme xe^{2/x}

Solution

extreme points

x e^{\frac{2}{x}}

Solution

Minimum (2, 2 e)

Solution steps

Find the critical points:

x = 2

Domain of

x e^{\frac{2}{x}} : x < 0 or x > 0

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug the extreme point

x = 2

into

x e^{\frac{2}{x}} \Rightarrow y = 2 e

Minimum (2, 2 e)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme xe^{2/x} ?
The extreme xe^{2/x} is Minimum(2,2e)